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Finding the Fourth Proportional to 492.78, 680 and 271.69

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Solution

The fourth proportional to 492.78, 680 and 271.69 is: 374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.78 : 680 = 271.69 : x
  2. Step 2: Convert to fraction form
    492.78/680 = 271.69/x
  3. Step 3: Cross multiply
    492.78x = 680 × 271.69
  4. Step 4: Simplify right side
    492.78x = 184,749.20
  5. Step 5: Solve for x
    x = 184,749.20/492.78
  6. Step 6: Final answer
    x = 374.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.